EI

. ^/i — pr^H-j^+.ri/i-

.0» ' "'" Jl 8(»)'

-»-^*'ls-

I H (a, + ï».K) = (-i)»H(^), e(» + amK) = e(,),

i n,(^ + a».K)-(-i)«H,(»), e,(a! + i».K) = e,(i»), j H(3:*!imiK')»(-i)"AH(»), 8 (»+2mJK') - (-i)"A 8(a.),

[ H (3:-t-;K') = tBe(a7), 6 (37 + t"K'} = ÎB H(3:),

(2) Z(i + iK)-,Z(a;),

(3) Z(«+2iK')=Z(»:)-i:,

(5) Z(o) = o, Z(K) = o, Z(('K') = oo(pûlc5imple; résidu = I). T. et M. - II. iQ

CALCUL Dll'FÉRENTlEL.

Transformation linéaire.

V'kî-— iia 3| (o I t)

/bi — E s ^ 5;("|t)

(-rtïi

(-.r'"ft'

(-ifï*

LXXX (pis).

I EI[(8-Pt)., T]»El[,,,l,--!y-«

Transformation, de Landen.

(1) JT

Vn^ ' + *' *

(3) 1 - '^ ï/ït-ï; = ^ au» I ") = i±i' K =

(4) L'.^L = .|L = (,+i')If=5:,

dn-

,sn^

dr

rr

Jsnî

rîp

IfORMCLES.

Trans/ormntlo/i ds Gauss.

Lxxxm.

^-^^Tfe-

2t aK a ajW

agS

,n— 'i-.da— %-

Jl/i! Itipîicatior

-A2sn*K '

cn=

„sn'Mdn2«

1— ^îsn'M

dn'

M — A^ sn= u. cn= (i

agi CALCUL DIFFÉRENTIEL.

Transformation d'ordre impair.

,,. t^îI=K ai (0l»T) ,TT,. /2r \

(6) L = j3;(ol„,).^/.,;

(7> I,'.î'L=%.v'îr^

a,.fl ^ — K,

(il) dn(^, ;) = M 2"1«(» + '»',.).